2x^2-11x+15=ln(x-1)+ln(x+1)-ln(x^2-1)

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Solution for 2x^2-11x+15=ln(x-1)+ln(x+1)-ln(x^2-1) equation: 


Simplifying
2x2 + -11x + 15 = ln(x + -1) + ln(x + 1) + -1ln(x2 + -1)

Reorder the terms:
15 + -11x + 2x2 = ln(x + -1) + ln(x + 1) + -1ln(x2 + -1)

Reorder the terms:
15 + -11x + 2x2 = ln(-1 + x) + ln(x + 1) + -1ln(x2 + -1)
15 + -11x + 2x2 = (-1 * ln + x * ln) + ln(x + 1) + -1ln(x2 + -1)
15 + -11x + 2x2 = (-1ln + lnx) + ln(x + 1) + -1ln(x2 + -1)

Reorder the terms:
15 + -11x + 2x2 = -1ln + lnx + ln(1 + x) + -1ln(x2 + -1)
15 + -11x + 2x2 = -1ln + lnx + (1 * ln + x * ln) + -1ln(x2 + -1)
15 + -11x + 2x2 = -1ln + lnx + (1ln + lnx) + -1ln(x2 + -1)

Reorder the terms:
15 + -11x + 2x2 = -1ln + lnx + 1ln + lnx + -1ln(-1 + x2)
15 + -11x + 2x2 = -1ln + lnx + 1ln + lnx + (-1 * -1ln + x2 * -1ln)
15 + -11x + 2x2 = -1ln + lnx + 1ln + lnx + (1ln + -1lnx2)

Reorder the terms:
15 + -11x + 2x2 = -1ln + 1ln + 1ln + lnx + lnx + -1lnx2

Combine like terms: -1ln + 1ln = 0
15 + -11x + 2x2 = 0 + 1ln + lnx + lnx + -1lnx2
15 + -11x + 2x2 = 1ln + lnx + lnx + -1lnx2

Combine like terms: lnx + lnx = 2lnx
15 + -11x + 2x2 = 1ln + 2lnx + -1lnx2

Solving
15 + -11x + 2x2 = 1ln + 2lnx + -1lnx2

Solving for variable 'x'.

Reorder the terms:
15 + -1ln + -2lnx + lnx2 + -11x + 2x2 = 1ln + 2lnx + -1lnx2 + -1ln + -2lnx + lnx2

Reorder the terms:
15 + -1ln + -2lnx + lnx2 + -11x + 2x2 = 1ln + -1ln + 2lnx + -2lnx + -1lnx2 + lnx2

Combine like terms: 1ln + -1ln = 0
15 + -1ln + -2lnx + lnx2 + -11x + 2x2 = 0 + 2lnx + -2lnx + -1lnx2 + lnx2
15 + -1ln + -2lnx + lnx2 + -11x + 2x2 = 2lnx + -2lnx + -1lnx2 + lnx2

Combine like terms: 2lnx + -2lnx = 0
15 + -1ln + -2lnx + lnx2 + -11x + 2x2 = 0 + -1lnx2 + lnx2
15 + -1ln + -2lnx + lnx2 + -11x + 2x2 = -1lnx2 + lnx2

Combine like terms: -1lnx2 + lnx2 = 0
15 + -1ln + -2lnx + lnx2 + -11x + 2x2 = 0

The solution to this equation could not be determined.

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